4400400448320 has 224 divisors, whose sum is σ = 14055057764352. Its totient is φ = 1166422591488.

The previous prime is 4400400448307. The next prime is 4400400448369. The reversal of 4400400448320 is 238440040044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116879419 + ... + 116917061.

Almost surely, 2^{4400400448320} is an apocalyptic number.

4400400448320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400400448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027528882176).

4400400448320 is an abundant number, since it is smaller than the sum of its proper divisors (9654657316032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4400400448320 is a wasteful number, since it uses less digits than its factorization.

4400400448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38389 (or 38379 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4400400448320 its reverse (238440040044), we get a palindrome (4638840488364).

The spelling of 4400400448320 in words is "four trillion, four hundred billion, four hundred million, four hundred forty-eight thousand, three hundred twenty".